4 papers
A foamy approach to Soergel bimodules
Mikhail Khovanov, Louis-Hadrien Robert, Emmanuel Wagner
The aim of this short note is to establish a 2-equivalence between a certain 2-category of foams and that of singular Soergel bimodules of type A.
An Extension of Khovanov Homology to Immersed Surface Cobordisms
Scott Carter, Benjamin Cooper, Mikhail Khovanov +1
We show that an oriented surface in containing double point singularities induces a map between the Khovanov homology groups of its boundary links in a functorial wa…
Symmetries of equivariant Khovanov homology
Mikhail Khovanov, Taketo Sano
We study symmetries in equivariant versions of Khovanov homology, which include (i) the construction of an involution for the -equivariant theory, (ii) an integra…
On the universal pairing for 2-complexes
Mikhail Khovanov, Vyacheslav Krushkal, John Nicholson
The universal pairing for manifolds was defined and shown to lack positivity in dimension 4 by Freedman et al. We prove an analogous result for 2-complexes, and also show that the…